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Finding the Fourth Proportional to 1,537.68, 2,307.16 and 626.32

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Solution

The fourth proportional to 1,537.68, 2,307.16 and 626.32 is: 939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.68 : 2,307.16 = 626.32 : x
  2. Step 2: Convert to fraction form
    1,537.68/2,307.16 = 626.32/x
  3. Step 3: Cross multiply
    1,537.68x = 2,307.16 × 626.32
  4. Step 4: Simplify right side
    1,537.68x = 1,445,020.45
  5. Step 5: Solve for x
    x = 1,445,020.45/1,537.68
  6. Step 6: Final answer
    x = 939.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.